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3 years ago

Whats the answer for this function?

Mathematics

1 answer:

Snezhnost [94]3 years ago

8 0

Answer:

number 2. y=3/4x

Step-by-step explanation:

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The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

2 years ago

A class is taking a trip to the aquarium. The teacher has received only 2 permission slips for every 5 students in the class. Us

Black_prince [1.1K]

Answer:

help

Step-by-step explanation:

Im doing the test now can you tell me what it is please

6 0

2 years ago

Read 2 more answers

Simplify |−3 − 8|<br> A. –11<br><br> B. –5<br><br> C. 5<br><br> D. 11

bazaltina [42]

Answer:

<h3>It's answer is D. 11 </h3>

Here we can see there is modulus so

while doing calculation

| -3-8 |

| -11 |

Here it is modulus so - changes into +

so it's answer is 11.

8 0

3 years ago

There are 48 grapes in a bag. Four friends are sharing the grapes.

xeze [42]

48 divided by 4

Step-by-step explanation:each freind gets 12 grapes

5 0

3 years ago

Find the solution to this equation 2(x + 12) - 2x = 3(x - 2)

Wewaii [24]

Answer:

it equals x=10 so i guess it's B

Step-by-step explanation:

6 0

2 years ago